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Finding the Third Proportional to 3,443,638,804,634 and 7,398,324,692,824

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Solution

The third proportional to 3,443,638,804,634 and 7,398,324,692,824 is: 15,894,584,585,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443,638,804,634 : 7,398,324,692,824 = 7,398,324,692,824 : x
  2. Step 2: Convert to fraction form
    3,443,638,804,634/7,398,324,692,824 = 7,398,324,692,824/x
  3. Step 3: Cross multiply
    3,443,638,804,634x = 7,398,324,692,824 × 7,398,324,692,824
  4. Step 4: Simplify right side
    3,443,638,804,634x = 54,735,208,260,449,333,065,809,920
  5. Step 5: Solve for x
    x = 54,735,208,260,449,333,065,809,920/3,443,638,804,634
  6. Step 6: Final answer
    x = 15,894,584,585,001.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.